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Simplifying 2x2 + 19x + 8 = 6x + 2 Reorder the terms: 8 + 19x + 2x2 = 6x + 2 Reorder the terms: 8 + 19x + 2x2 = 2 + 6x Solving 8 + 19x + 2x2 = 2 + 6x Solving for variable 'x'. Reorder the terms: 8 + -2 + 19x + -6x + 2x2 = 2 + 6x + -2 + -6x Combine like terms: 8 + -2 = 6 6 + 19x + -6x + 2x2 = 2 + 6x + -2 + -6x Combine like terms: 19x + -6x = 13x 6 + 13x + 2x2 = 2 + 6x + -2 + -6x Reorder the terms: 6 + 13x + 2x2 = 2 + -2 + 6x + -6x Combine like terms: 2 + -2 = 0 6 + 13x + 2x2 = 0 + 6x + -6x 6 + 13x + 2x2 = 6x + -6x Combine like terms: 6x + -6x = 0 6 + 13x + 2x2 = 0 Factor a trinomial. (6 + x)(1 + 2x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-6, -0.5}
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